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soldi70 [24.7K]
3 years ago
6

The area of a triangle garden can

Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

0< h ≤ 15

Step-by-step explanation:

A = 1/2 * base * height = 1/2*16*h = 8h

A no more is ≤.

A ≤ 120

8h ≤ 120

h ≤ 15

0< h ≤ 15

Height should be  more than 0 feet and no more than 15 feet.

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Please try to answer quickly :) thanks
andrezito [222]
Im pretty sure that it is the first answer
6 0
3 years ago
Find the critical numbers of the function f(x) = x6(x − 1)5 what does the first derivative test tell you that the second derivat
patriot [66]
The given function is f(x) = x⁶(x-1)⁵

The first derivative is
f'(x) = 6x⁵(x-1)⁵ + 5x⁶(x-1)⁴
       = x⁵(x-1)⁴(6x - 6 + 5x)
       = x⁵(x-1)⁴(11x - 6)
The critical values are the zeros of f'(x). They are
x = 0, 6/11, and 1.
The critical values indicate that turning points exist for f(x) at the critical points. However, we do not know the nature of the turning points.

Write the first derivative in the form f'(x) = (x-1)⁴(11x⁶ - 6x⁵).
The second derivative is
f''(x) = 4(x-1)³(11x⁶ - 6x⁵) + (x-1)⁴(66x⁵ - 30x⁴)
        = (x-1)³(44x⁶ - 24x⁵ + 66x⁶ - 30x⁵ - 66x⁵ + 30x⁴)
        = (x-1)³(110x⁶ - 120x⁵ + 30x⁴)
        = 10x⁴(x-1)³(11x² - 12x + 3)
The sign of f''(x) at the critical values tell us the nature of the turning point.

f''(0) = 0, therefore a point of inflection exists at x = 0.
f''(6/11) > 0, therefore a local minumum exists at x = 6/11.
f''(1) = 0, therefore a point of inflection exists at x=1.

The graphs shown below confirm these results.

8 0
3 years ago
-8a-9a+7a what does this equal
allochka39001 [22]
The answer would be -10a
7 0
3 years ago
Can someone please solve this, tell me which one goes where in order.​
sasho [114]

Total discount for 10 group tickets = 10 · 0.05t

Amount of discount per ticket = 0.05t

Number of tickets = 10

Cost of buying 10 single tickets = 10t

Solution:

Cost for single ticket = t dollars

Discount percent per ticket = 5%

Number of tickets bought = 10

Total discount for 10 group tickets = Number of tickets × Discount amount

                                                         = 10 × 0.05t

Total discount for 10 group tickets = 10 · 0.05t

Amount of discount per ticket = 5%t

                                                  = \frac{5}{100} t

                                                  = 0.05t

Amount of discount per ticket = 0.05t

Number of tickets = 10

Cost of buying 10 single tickets = 10t

4 0
3 years ago
Triangle J K L is similar to triangle P Q R ..
drek231 [11]

Answer:

t = 7.5

Step-by-step explanation:

PQ and JK are corresponding sides.

QR and KL are corresponding sides.

\dfrac{PQ}{JK} = \dfrac{QR}{KL}

\dfrac{25}{5} = \dfrac{t}{1.5}

5t = 25 \times 1.5

t = 5 \times 1.5

t = 7.5

8 0
2 years ago
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